A harder-narasimhan theory for kisin modules

Brandon Levin, Carl Wang-Erickson

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We develop a Harder-Narasimhan theory for Kisin modules generalizing a similar theory for finite at group schemes due to Fargues [La filtration de Harder-Narasimhan des sch-emas en groupes finis et plats, J. reine angew. Math. 645 (2010), 1-39]. We prove the tensor product theorem, in other words, that the tensor product of semistable objects is again semi-stable. We then apply the tensor product theorem to the study of Kisin varieties for arbitrary connected reductive groups.

Original languageEnglish (US)
Pages (from-to)645-795
Number of pages151
JournalAlgebraic Geometry
Issue number6
StatePublished - 2020


  • Algebraic groups
  • Deformation theory
  • Finite at group schemes
  • Geometric invariant theory
  • P-adic hodge theory

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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